Lattice Path Combinatorics and Applications

Inbunden, Engelska, 2019

AvGeorge E. Andrews,Christian Krattenthaler,Alan Krinik

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The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

Produktinformation

Utgivningsdatum2019-03-15
Mått155 x 235 x 30 mm
Vikt828 g
FormatInbunden
SpråkEngelska
SerieDevelopments in Mathematics
Antal sidor418
FörlagSpringer Nature Switzerland AG
ISBN9783030111014

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Preface.- Lajos Takács: A Tribute (A.M. Haghighi, S.G. Mohanty).- The Distribution of the Local Time of Brownian Motion with Drift (L. Takács).- Reflections on Shreeram Abhyankar (K. Alladi).- My Association and Collaboration with George Andrews (K. Alladi).- A Refinement of the Alladi–Schur Theorem (G.E. Andrews).- Explicit Formulas for Enumeration of Lattice Paths: Basketball and the Kernel Method (C. Banderier, C. Krattenthaler, A. Krinik, D. Kruchinin, V. Kruchinin, D. Nguyen, M. Wallner).- The Kernel Method for Lattice Paths below a Line of Rational Slope (C. Banderier, M. Wallner).- Enumeration of Colored Dyck Paths via Partial Bell Polynomials (D. Birmajer, J.B. Gil, P.R.W. McNamara, M.D. Weiner).- A Review of the Basic Discrete q-Distributions (Ch.A. Charalambides).- Families of Parking Functions Counted by the Schröder and Baxter Numbers (R. Cori, E. Duchi, S. Rinaldi, V. Guerrini).- Some Tilings, Colorings and Lattice Paths via Stern Polynomials (K. Dilcher, L. Ericksen).- p-Rook Numbers and Cycle Counting in Cp|Sn (J. Haglund, J. Remmel, M. Yoo).- Asymptotic Behaviour of Certain q-Poisson, q-Binomial and Negative q-Binomial Distributions (A. Kyriakoussis, M. Vamvakari).- Asymptotic Estimates for Queueing Systems with Time-Varying Periodic Transition Rates (B. Margolius).- A Combinatorial Analysis of the M/M[m]/1 Queue (G. Mercankosk, G.M. Nair).- Laws Relating Runs, Long Runs, and Steps in Gambler’s Ruin, with Persistence in Two Strata (G.J. Morrow).- Paired Patterns in Lattice Paths (R.Pan, J.B. Remmel).